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Finding the Third Proportional to 242,840 and 361,769

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Solution

The third proportional to 242,840 and 361,769 is: 538,942.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,840 : 361,769 = 361,769 : x
  2. Step 2: Convert to fraction form
    242,840/361,769 = 361,769/x
  3. Step 3: Cross multiply
    242,840x = 361,769 × 361,769
  4. Step 4: Simplify right side
    242,840x = 130,876,809,361
  5. Step 5: Solve for x
    x = 130,876,809,361/242,840
  6. Step 6: Final answer
    x = 538,942.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.